2017
Том 69
№ 6

All Issues

Groups with Hypercyclic Proper Quotient Groups

Kurdachenko L. A., Soules P.

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Abstract

We continue the investigation of (solvable) groups all proper subgroups of which are hypercyclic. The monolithic case is studied completely; in the nonmonolithic case, however, one should impose certain additional conditions. We investigate groups all proper quotient groups of which possess supersolvable classes of conjugate elements.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 4, pp 566-575.

Citation Example: Kurdachenko L. A., Soules P. Groups with Hypercyclic Proper Quotient Groups // Ukr. Mat. Zh. - 2003. - 55, № 4. - pp. 470-478.

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